D. A. Di-pietro and A. Ern, A hybrid high-order locking-free method for linear elasticity on general meshes, Computer Methods in Applied Mechanics and Engineering, vol.283, pp.1-21, 2015.
DOI : 10.1016/j.cma.2014.09.009

URL : https://hal.archives-ouvertes.fr/hal-00979435

J. Aghili, S. Boyaval, and D. A. Di-pietro, Abstract, Computational Methods in Applied Mathematics, vol.15, issue.2, pp.111-134, 2015.
DOI : 10.1515/cmam-2015-0004

B. Cockburn, D. A. Di-pietro, and A. Ern, Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods, ESAIM: Mathematical Modelling and Numerical Analysis, vol.50, issue.3, 2015051.
DOI : 10.1051/m2an/2015051

URL : https://hal.archives-ouvertes.fr/hal-01115318

I. Babu?ka, B. A. Szabo, and I. N. Katz, -Version of the Finite Element Method, SIAM Journal on Numerical Analysis, vol.18, issue.3, pp.515-545, 1981.
DOI : 10.1137/0718033

I. Babu?ka and M. Suri, -Version of the Finite Element Method, SIAM Journal on Numerical Analysis, vol.24, issue.4, pp.750-776, 1987.
DOI : 10.1137/0724049

I. Babu?ka and M. Suri, The $h-p$ version of the finite element method with quasiuniform meshes, ESAIM: Mathematical Modelling and Numerical Analysis, vol.21, issue.2, pp.199-238, 1987.
DOI : 10.1051/m2an/1987210201991

B. Rivì-ere, W. M. , and V. Girault, Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. Part I, Computational Geosciences, vol.3, issue.3/4, pp.337-360, 1999.
DOI : 10.1023/A:1011591328604

P. Castillo, B. Cockburn, D. Scötzau, and C. Schwab, Optimal a priori error estimates for the $hp$-version of the local discontinuous Galerkin method for convection--diffusion problems, Mathematics of Computation, vol.71, issue.238, pp.71-455, 2001.
DOI : 10.1090/S0025-5718-01-01317-5

I. Perugia and D. Schötzau, A hp-analysis of the Local Discontinuous Galerkin method for diffusion problems, J. Sci. Comput, vol.17, pp.1-4, 2002.

E. H. Georgoulis and E. Süli, Optimal error estimates for the hp-version interior penalty discontinuous Galerkin finite element method, IMA Journal of Numerical Analysis, vol.25, issue.1, pp.205-220, 2005.
DOI : 10.1093/imanum/drh014

B. Stamm and T. P. Wihler, $hp$-Optimal discontinuous Galerkin methods for linear elliptic problems, Mathematics of Computation, vol.79, issue.272, pp.2117-2133, 2010.
DOI : 10.1090/S0025-5718-10-02335-5

URL : https://hal.archives-ouvertes.fr/hal-01090918

P. F. Antonietti, S. Giani, and P. Houston, $hp$-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains, SIAM Journal on Scientific Computing, vol.35, issue.3, pp.1417-1439, 2013.
DOI : 10.1137/120877246

S. Giani and P. Houston, -Adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains, Numerical Methods for Partial Differential Equations, vol.200, issue.4, pp.1342-1367, 2014.
DOI : 10.1002/num.21872

URL : https://hal.archives-ouvertes.fr/hal-00160815

A. Cangiani, E. H. Georgoulis, and P. Houston, hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes, Mathematical Models and Methods in Applied Sciences, vol.24, issue.10, pp.2009-2041, 2014.
DOI : 10.1142/S0218202514500146

L. Beirão-da-veiga, A. Chernov, L. Mascotto, and A. Russo, Basic principes of hp Virtual Elements on quasiuniform meshes, pp.1508-02242, 2015.

B. Cockburn, J. Gopalakrishnan, and R. Lazarov, Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems, SIAM Journal on Numerical Analysis, vol.47, issue.2, pp.1319-1365, 2009.
DOI : 10.1137/070706616

D. A. Di-pietro and A. Ern, Mathematical aspects of discontinuous Galerkin methods, of Mathématiques & Applications
DOI : 10.1007/978-3-642-22980-0

D. A. Di-pietro and J. Droniou, A Hybrid High-Order method for Leray???Lions elliptic equations on general meshes, Mathematics of Computation, pp.1508-01918, 2015.
DOI : 10.1090/mcom/3180

URL : https://hal.archives-ouvertes.fr/hal-01183484

M. Vohralík, A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations, SIAM Journal on Numerical Analysis, vol.45, issue.4, pp.1570-1599, 2007.
DOI : 10.1137/060653184

C. Schwab, p-and hp¡FEM ? Theory and application to solid and fluid mechanics, 1998.

B. Ayuso-de-dios, K. Lipnikov, and G. Manzini, The nonconforming virtual element method, ESAIM: Mathematical Modelling and Numerical Analysis, vol.50, issue.3, 2015089.
DOI : 10.1051/m2an/2015090

P. G. Ciarlet, The finite element method for elliptic problems, #25001)], p.520174, 1958.

C. and L. Potier, A finite volume method for the approximation of highly anisotropic diffusion operators on unstructured meshes, in: Finite volumes for complex applications IV, ISTE, pp.401-412, 2005.

R. Herbin and F. Hubert, Benchmark on discretization schemes for anisotropic diffusion problems on general grids, Finite Volumes for Complex Applications V, pp.659-692, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00429843

D. A. Di-pietro and S. Lemaire, An extension of the Crouzeix???Raviart space to general meshes with application to quasi-incompressible linear elasticity and Stokes flow, Mathematics of Computation, vol.84, issue.291, pp.1-31, 2015.
DOI : 10.1090/S0025-5718-2014-02861-5

URL : https://hal.archives-ouvertes.fr/hal-00753660

C. Talischi, G. H. Paulino, A. Pereira, and I. F. Menezes, PolyMesher: a general-purpose mesh generator for polygonal elements written in Matlab, Structural and Multidisciplinary Optimization, vol.74, issue.250, pp.2012-309
DOI : 10.1007/s00158-011-0706-z

E. M. Stein, Singular integrals and differentiability properties of functions, 1970.

T. Dupont and R. Scott, Polynomial approximation of functions in Sobolev spaces, Mathematics of Computation, vol.34, issue.150, pp.441-463, 1980.
DOI : 10.1090/S0025-5718-1980-0559195-7

L. Ambrosio, N. Fusco, and D. Pallara, Free Discontinuity Problems and Special Functions with Bounded Variation, 2000.
DOI : 10.1007/978-3-0348-8974-2_2